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math.NT2013
Three term recurrence and residue completeness
Cheng Lien Lang, Mong Lung Lang
We study the three term recurrence modulo m. In particular, we prove that Pell numbers modulo m is residue complete if and only m is 2, a power of 3, or a power of 5. Pell-Lucas nu…
math.NT2013
Generalised Binomial coefficients and Jarden's Theorem
Cheng Lien Lang, Mong Lung Lang
We prove a stronger version of Jarden's Theorem for recurrence of powers of recursive functions
math.NT2013
Recurrence of Products of Linear Recursive Functions
Cheng Lien Lang, Mong Lung Lang
We study the recurrence of the product of n functions, each of which satisfies the same recurrence relation.
math.NT2013★ 1 cited
Fibonacci system and residue completeness
Cheng Lien Lang, Mong Lung Lang
We give necessary and sufficient conditions for a Fibonacci cycle to be residue complete (nondefective). In particular, the Lucas numbers modulo m is residue complete if and only i…